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28659360896 = 272914951817
BaseRepresentation
bin11010101100001110…
…110010010010000000
32201222022122101020222
4122230032302102000
5432143244022041
621055501322212
72033130356015
oct325416622200
981868571228
1028659360896
111117750a031
125679b66368
1329196cb71a
14155c38970c
15b2b0ac74b
hex6ac3b2480

28659360896 has 64 divisors (see below), whose sum is σ = 59461155000. Its totient is φ = 13742432256.

The previous prime is 28659360881. The next prime is 28659360943. The reversal of 28659360896 is 69806395682.

It can be written as a sum of positive squares in 4 ways, for example, as 17731585600 + 10927775296 = 133160^2 + 104536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527180 + ... + 578996.

Almost surely, 228659360896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28659360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730577500).

28659360896 is an abundant number, since it is smaller than the sum of its proper divisors (30801794104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28659360896 is a wasteful number, since it uses less digits than its factorization.

28659360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52009 (or 51997 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 62.

The spelling of 28659360896 in words is "twenty-eight billion, six hundred fifty-nine million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 149 232 298 464 596 928 1192 1856 2384 3712 4321 4768 8642 9536 17284 19072 34568 51817 69136 103634 138272 207268 276544 414536 553088 829072 1502693 1658144 3005386 3316288 6010772 6632576 7720733 12021544 15441466 24043088 30882932 48086176 61765864 96172352 123531728 192344704 223901257 247063456 447802514 494126912 895605028 988253824 1791210056 3582420112 7164840224 14329680448 28659360896